On Nov 24, 2008, at 10:07 PM, mabshoff wrote:
>
> You should consider creating one or a couple large files with the
> integrals for doctesting and stuff them into $SAGE_ROOT/devel/tests.
> Hopefully it can be arranged to feed the input into Maxima/Axiom/
> Maple/
> MMA/sympy and so on and compare the result as well as performance. If
> you find a bunch of integrals the OS programs cannot do or where a
> result is incorrect I am sure those projects will be more than happy
> to get bug reports.
Initially, I'm using the integrals set I got from Tim Daly at the Axiom
project. His are from the Schaum's integral tables. He has a total of
25 separate files. I've finished the first file. So, I'm not checking
those results, just performance. I will be checking both Maxima and
Sympy
for correctness, though. I've already found one integral that Axiom and
Sympy get correct, but Maxima "fails" because it requests additional
information during the integration:
var('x,a,b,n')
f22 = (a*x+b)^n
aa = f22.integrate(x)
In fact, SymPy gets the same answer as Schaum's while FriCAS needs
a rewrite rule applied to the results to match Schaum's.
Cheers,
Tim.
---
Tim Lahey
PhD Candidate, Systems Design Engineering
University of Waterloo
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